Twistor String Structure of the Kerr-Schild Geometry and Consistency of the Dirac-Kerr System
| dc.creator | Burinskii, Alexander | |
| dc.date | 2008-12-29 | |
| dc.date.accessioned | 2026-07-07T12:48:28Z | |
| dc.date.available | 2026-07-07T12:48:28Z | |
| dc.description | Kerr-Schild (KS) geometry of the rotating black-holes and spinning particles is based on the associated with Kerr theorem twistor structure which is defined by an analytic curve $F(Z)=0$ in the projective twistor space $Z \in CP^3 .$ On the other hand, there is a complex Newman representation which describes the source of Kerr-Newman solution as a "particle" propagating along a complex world-line $X(\t)\in CM^4,$ and this world-line determines the parameters of the Kerr generating function $F(Z).$ The complex world line is really a world-sheet, $\t= t + i σ,$ and the Kerr source may be considered as a complex Euclidean string extended in the imaginary time direction $σ$. The Kerr twistor structure turns out to be adjoined to the Kerr complex string source, forming a natural twistor-string construction similar to the Nair-Witten twistor-string. We show that twistor polarization of the Kerr-Newman solution may be matched with the {\it massless} solutions of the Dirac equation, providing consistency of the Dirac-Kerr model of spinning particle (electron). It allows us to extend the Nair-Witten concept on the scattering of the gauge amplitudes in twistor space to include massive KS particles. | |
| dc.description | 11 p. 2 figs. Dedicated to Jubilee of Prof. S.D.Odintsov, based on the talk at the 5th Math. Phys. Meeting, July 2008, Belgrad | |
| dc.identifier | https://arxiv.org/abs/0812.4908 | |
| dc.identifier | http://arxiv.org/abs/0812.4908 | |
| dc.identifier | THE PROBLEMS OF MODERN COSMOLOGY. A volume in honour of Professor S.D. Odintsov in the occasion of his 50 th birthday. pp.129-136, Tomsk, 2009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222067 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Quantum Physics | |
| dc.title | Twistor String Structure of the Kerr-Schild Geometry and Consistency of the Dirac-Kerr System | |
| dc.type | text |